Dividing and Simplifying Rational Expressions

The video tutorial covers various factoring techniques and how to simplify rational expressions. It begins with an introduction to factoring and rational expressions, followed by steps to simplify them. The tutorial explains how to factor trinomials and binomials, and discusses reciprocation and multiplication of rational expressions. Special factoring techniques, such as the difference of squares, are also covered. The video concludes with cross multiplication and final simplification of expressions.

What is the first step in dividing rational expressions?

• Add the numerators

• Multiply by the divisor's reciprocal

• Subtract the denominators

• Divide the numerators

When factoring a trinomial, what should the two terms multiply to?

• The middle term

• The leading coefficient

• The constant term

• The sum of the coefficients

What is a common factor in the binomial x + 6x?

• x

• 6

• x + 6

• None

How do you simplify x^2 - 49?

• As a binomial

• As a trinomial

• As a difference of squares

• As a sum of squares

What is the result of reciprocating the divisor in a division problem?

• It is multiplied by the original numerator

• It remains unchanged

• It becomes the denominator

• It becomes the numerator

What happens to terms that are the same in both the numerator and denominator?

• They are multiplied

• They are subtracted

• They are divided out to one

• They are added together

What is the result of x + 4 divided by x + 4?

• x

• 0

• 4

• 1

After canceling out common terms, what is left in the numerator?

• x + 7 times x - 4

• x + 8 times x - 7

• x + 4 times x + 7

• x - 8 times x + 7

What is left in the denominator after simplification?

• 6x

• x + 7

• x - 7

• x + 4

What is the final step in dividing rational expressions?

• Simplifying the expression

• Multiplying the expressions

• Adding the numerators

• Subtracting the denominators